What is 5/23 plus 2/8? (Answer: 43/92)

Exact Answer

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Problem: What is 5/23 plus 2/8?
Formula / Expression: 5/23 + 2/8
Final Answer: 43/92
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 23 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 23 × 8 = 184.
Working: LCD(23, 8) = 184

Step 2: Convert to Equivalent Fractions with Common Denominator 184
Multiply the numerator and denominator of 5/23 by 8, and multiply the numerator and denominator of 2/8 by 23 so both fractions share the common base 184.
Working: 5 × 8/23 × 8 = 40/184 and 2 × 23/8 × 23 = 46/184

Step 3: Add the Numerators
Now add the numerators (40 + 46 = 86) and keep the common denominator 184 unchanged.
Working: 40 + 46/184 = 86/184

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 86 and 184, which is 2. Divide both the numerator and denominator by 2.
Working: 86 ÷ 2/184 ÷ 2 = 43/92

Step 5: Decimal & Percentage Representation
Dividing the numerator 43 by denominator 92 produces a repeating decimal (approximately 0.467391, or 46.7391%).
Working: 43 ÷ 92 = 0.467391 (46.7391%)

Key Values:
- Simplified Fraction: 43/92
- Mixed Number Form: 43/92
- Decimal Value: 0.467391
- Percentage: 46.7391%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-23-plus-2-8/
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5/23 + 2/8 = 43/92

Simplified Fraction

43/92

Mixed Number

Proper (43/92)

Decimal Value

0.467391

Percentage

46.7391%

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Step-by-Step Solution: 5/23 + 2/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 23 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 23 × 8 = 184.

LCD(23, 8) = 184

Step 2

Convert to Equivalent Fractions with Common Denominator 184

Multiply the numerator and denominator of 5/23 by 8, and multiply the numerator and denominator of 2/8 by 23 so both fractions share the common base 184.

5 × 8/23 × 8 = 40/184 and 2 × 23/8 × 23 = 46/184

Step 3

Add the Numerators

Now add the numerators (40 + 46 = 86) and keep the common denominator 184 unchanged.

40 + 46/184 = 86/184

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 86 and 184, which is 2. Divide both the numerator and denominator by 2.

86 ÷ 2/184 ÷ 2 = 43/92

Step 5

Decimal & Percentage Representation

Dividing the numerator 43 by denominator 92 produces a repeating decimal (approximately 0.467391, or 46.7391%).

43 ÷ 92 = 0.467391 (46.7391%)

Visual Representation

The diagram below illustrates 5/23 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`43/92`
Mixed Number Form	`43/92`
Decimal Form	`0.467391`
Percentage	`46.7391%`

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Frequently Asked Questions

What is 5/23 plus 2/8 as a fraction?

5/23 + 2/8 in simplest fraction form is 43/92.

What is 5/23 plus 2/8 as a decimal?

5/23 + 2/8 converted to a decimal is 0.467391.

What is 5/23 plus 2/8 as a percentage?

5/23 + 2/8 expressed as a percentage is 46.7391%.

Does 5/23 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.467391...) because the denominator contains prime factors other than 2 and 5.